# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068071:0020 # Permalink to this reading: https://leibnizlegible.com/page/00068071:0020?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 26 # Folio 10v, page id 00068071:0020 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 13r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068071&page=20 # Source image: https://digitale-sammlungen.gwlb.de/content/00068071/jpgs/default/00000020.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 92 lines, status machine # Lines: 92 recognised, mean confidence 0.82 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. distantes invicem terminos conjungendo modo ne summus non excedat gradum ipsius . sed simpluissima est ex his prima, cxita pbl ut 2 sit 40 + 41X + 42XX, et ita ipsius 2 gradus ita exo d(exponens gradus ipsius 2) erit a- 2 Hoc modo igitur instituto Calculo, potest generalis dar Canon quo inveniantur quaesitae 12 30, 31, 32, etc Et 40 41, 42, etl e calcurum adhu sed ut calculum ad huc magis contrphamus, suffecerit, loco ipsius gdate, formulae datae assumi unum ejus terminum, nempe summum, verbi gratia, si sit = 20 + 21X. +2LXX + 23X+ 24X possunt 20, 21, 22, 23, poni aequales nihilo, maneate solum 24X 1 ubi etiam 24 assua pro unitate haberi potet adeoque supererit , XI, vel qiuqu X. gereraliter X. Singulis euius X. Vdx summationem deductis, utique etiam aggregata ex ipsis formula recipit summationem ponamus ergo in exemplum ad quod moduti sit vrce sit canonis vice; esse + = 10) 11X + 12 XX + 13 X +14X G = X X X + cf = 30 + 3IX + 32 XN + 33 X + 34X + 85X 2 = 40 + 41X + 42XX Et hoc sensu esse (X = c Zd + s2 Ydx poatque adeo es 8+ (et 1 d D - 2 dx - X3= 0 Hinc instibuta idensificatione, ad inveniendas Quantitates arbitrarias, ut arbitrarias 30, 312, etc, 40, 41, et. Valores ipsaruem 30, 3, 32, et c prodibunt tales 105= 1. 94. 34 --83: 94. 84, invenientur sequentibus aequationibus quas mox secuturis, quas ingrediuntur Numeri 194, 189, etc, 183, e ets 172 162, etc. quaerum significatio apparet extabula sequenti ubi ex. gr. 173 significat TC +3, 13; et 162 significat 6C +2, 12. Ubi 9e , 14 94 80t3, 13 70+2, 12 9e+4, 14 8er3 13 7C+2, 12 6etl9 11 5C+0, 10 150 81+ 44re4 Ubi d, 1, 2,3 4, 5, 6, 7, 8, 9o sunt numeri veri, sed 10,11, 12, 13, 7, 20+, B e se ut et 50161, 7 etc. sunt begust sege 6e+7 11 52+ 11 4e41 5C+0, 10 50 194 172 6 Aer0 38 82+4, 14) 7e+4 14 71+3, 13 62+2, 12 Se + 1, I1 seigi 5C+2, 12 a+ 1, 11 3e28, 10 tet2 fictitii, ideo sic expressi loco hiterarum velut a, d, ete et ut melius relationes hammatque dolorationes tarum quantitatum ex ipsa designationes eto intelligerentur. 40 abuld 5 162 14 152 t 6et4 144 Ser, 164 54 S Get 2, 12 142 3CF1, 11 29+0,10 B0 1et0, 42+0, 10 140 2e45